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Finding the Fourth Proportional to 27,045.06, 40,572.21 and 8,324.71

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Solution

The fourth proportional to 27,045.06, 40,572.21 and 8,324.71 is: 12,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045.06 : 40,572.21 = 8,324.71 : x
  2. Step 2: Convert to fraction form
    27,045.06/40,572.21 = 8,324.71/x
  3. Step 3: Cross multiply
    27,045.06x = 40,572.21 × 8,324.71
  4. Step 4: Simplify right side
    27,045.06x = 337,751,812.10
  5. Step 5: Solve for x
    x = 337,751,812.10/27,045.06
  6. Step 6: Final answer
    x = 12,488.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.